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Finding the Fourth Proportional to 164.76, 227.30 and 106.53

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Solution

The fourth proportional to 164.76, 227.30 and 106.53 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 227.30 = 106.53 : x
  2. Step 2: Convert to fraction form
    164.76/227.30 = 106.53/x
  3. Step 3: Cross multiply
    164.76x = 227.30 × 106.53
  4. Step 4: Simplify right side
    164.76x = 24,213.74
  5. Step 5: Solve for x
    x = 24,213.74/164.76
  6. Step 6: Final answer
    x = 146.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.